| 一类互惠模型平衡解的局部分歧与稳定 |
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| 引用本文： | 权利娜.一类互惠模型平衡解的局部分歧与稳定[J].陕西教育学院学报,2009,25(2):97-100. |
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| 作者姓名： | 权利娜 |
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| 作者单位： | 陕西教育学院数理工程系,陕西西安,710061 |
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| 摘 要： | 研究了一类半线性反应扩散模型在齐次Nevmann边界条件下正平衡解的分歧与稳定。利用特征值分歧理论和谱分析的方法,以a为分歧参数研究了当p=1时系统在常数平衡解（0,qb）附近出现分歧现象,进而得到了该模型正平衡解存在的充分条件;同时运用线性特征值的扰动定理和分歧解的稳定性理论给出了该分歧解的稳定性。
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| 关 键 词： | 互惠模型 平衡解 局部分歧 稳定性 |
The Bifurcation and Stability of the Steady-state Solutions for a Cooperative Model |
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| QUAN Li-na.The Bifurcation and Stability of the Steady-state Solutions for a Cooperative Model[J].Journal of Shaanxi Institute of Education,2009,25(2):97-100. |
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| Authors: | QUAN Li-na |
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| Institution: | Shaanxi Institute of Education;Xi'an 710061;China |
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| Abstract: | The bifurcation and the stability of a semi-linear reaction-diffusion system with homogeneous Nevmann boundary are investigated by the methods of spectral analysis and bifurcation theory.The bifurcation from the semi-trivial solution(0,qb) for one case(p=1) are obtained.By treating a bifurcation for the parameters,some sufficient condition for the existence of positive solution are given.Moreover,some stability results of the bifurcation solution are obtained by using perturbation theory of linear operators... |
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| Keywords: | cooperative model semi-trivial steady-state solution bifurcation stability |
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